Fig. 5From: Convergence properties of optimal transport-based temporal hypergraphsCovered area and Lyapunov cost. Mean (markers) and standard deviations (shades around the markers) of the covered area S (top plots) and of the Lyapunov cost, energy dissipation \({\mathcal {E}}\) and structural cost \({\mathcal {M}}\) (bottom plots), as functions of time t. Means and standard deviations are computed on the set described in Paragraph Synthetic OT problems. From left to right: \(\beta =1.2, 1.5\) and 1.8. Red and blue lines denote \(t_P\) and \(t_{\mathcal {L}}\)Back to article page